Question

In Fig. 8.32, write all pairs of adjacent angles and all the linear pairs.

Answer 1

From figure 8.32 pairs of adjacent angles are as follows :

(1) (∠AOC, ∠COB)  

(2) (∠AOD, ∠BOD)  

(3) (∠AOD, ∠COD)  

(4)  (∠BOC, ∠COD)

And Linear pair of angles are as follows :  

(1)  (∠AOD, ∠BOD)  

(2) (∠AOC, ∠BOC).

[∠AOD + ∠BOD = 180° and ∠AOC + ∠BOC = 180°]

Linear pair of angles:

If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.

Axiom- 1

If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.

 

SIMILAR QUESTIONS :

In the given figure, lines AB and CD intersect at O. If and find ∠BOE and reflex ∠COE.

https://brainly.in/question/1389703

 

In the given figure, if x+y=w+z , then prove that AOB is a line.

https://brainly.in/question/1389708

Answer 2

pairs of adjacent angles are as follows :

(1) (∠AOC, ∠COB)  

(2) (∠AOD, ∠BOD)  

(3) (∠AOD, ∠COD)  

(4)  (∠BOC, ∠COD)

Linear pair of angles are as follows :  

(1)  (∠AOD, ∠BOD)   [∠AOD + ∠BOD = 180° ]

(2) (∠AOC, ∠BOC). [∠AOC + ∠BOC = 180°]